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Finding the Fourth Proportional to 110,565.84, 165,858.72 and 35,687.76

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Solution

The fourth proportional to 110,565.84, 165,858.72 and 35,687.76 is: 53,534.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,565.84 : 165,858.72 = 35,687.76 : x
  2. Step 2: Convert to fraction form
    110,565.84/165,858.72 = 35,687.76/x
  3. Step 3: Cross multiply
    110,565.84x = 165,858.72 × 35,687.76
  4. Step 4: Simplify right side
    110,565.84x = 5,919,126,193.27
  5. Step 5: Solve for x
    x = 5,919,126,193.27/110,565.84
  6. Step 6: Final answer
    x = 53,534.85

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.